Question

Consider the following statements:

STATEMENT I: Mode has to be one of the given values in a data set.

STATEMENT II: Mode is the least occuring number or item in a given data set.

STATEMENT III: Mode can be used for categorical data and numerical data.

With respect to the above statements, choose the correct option.

• A. All statements are correct.
• B. Only STATEMENT I & II are correct.
• C. Only STATEMENT I & III are correct.
• D. None of the statement is true.

Answer 1

The correct option is C Only STATEMENT I & III are correct.

The mode of a given data set is defined as the most frequently occuring number or object in the set.

For example, consider the following numerical data set:


Here, the most frequently occuring number is $13$, hence $13$ is mode of the given data set and this is one of the given values of the data set.

Consider the following categoircal data set:

Here, 4 different colored balls are given, we can observe that green colored balls are most frequently occuring than other given balls.

Hence, green-colored ball is mode of the categorical data.